Abstract This paper reports a new hyperchaotic system by adding an additional
state variable into a three-dimensional chaotic dynamical system,
studies some of its basic dynamical properties, such as the
hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and
the hyperchaotic attractor evolving into periodic, quasi-periodic
dynamical behaviours by varying parameter $k$.
Furthermore，effective linear feedback control method is used to
suppress hyperchaos to unstable equilibrium, periodic orbits and
quasi-periodic orbits. Numerical simulations are presented to show
these results.